8 Mid-Chapter Quiz

Do you know HOW?

Algebra Find the value of each variable. Express your answer in simplest radical form.

Given the following triangle side lengths, identify the triangle as acute, right, or obtuse.

7. 7, 8, 9
8. 15, 36, 39
9. 10, 12, 16
10. A square has a 40-cm diagonal. How long is each side of the square? Round to the nearest tenth of a centimeter.

Write the sine, cosine, and tangent ratios for ∠ A angle eh and ∠ B . angle b .

Does each set of numbers form a Pythagorean triple? Explain.

13. 32, 60, 68
14. 1, 2, 3
15. 2.5, 6, 6.5
16. Landscaping A landscaper uses a 13-ft wire to brace a tree. The wire is attached to a protective collar around the trunk of the tree. If the wire makes a 60 ° 60 degrees angle with the ground, how far up the tree is the protective collar located? Round to the nearest tenth of a foot.

Algebra Find the value of x. Round to the nearest tenth.

Do you UNDERSTAND?

21. Compare and Contrast What are the similarities between the methods you use to determine whether a triangle is acute, obtuse, or right? What are the differences?

22. In the figure below, which angle has the greater sine value? The greater cosine value? Explain.

    

23. Reasoning What angle has a tangent of 1? Explain. (Do not use a calculator or a table.)

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